Solutions of the loop equations of a class of generalized Frobenius manifolds

Autor:	Liu, Si-Qi, Qu, Haonan, Wang, Yuewei, Zhang, Youjin
Rok vydání:	2024
Předmět:	Mathematical Physics Mathematics - Differential Geometry Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one dimensional generalized Frobenius manifold, that the deformation of the Principal Hierarchy induced by the solution of the loop equation is the extended q-deformed KdV hierarchy. Comment: 41 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.00373 Zobrazit plný text záznamu View this record from Arxiv